One Solution, No Solution or Infinite
What is the equation?
Solve for x or y
Systems of Equations
Story Problems
100
y = 3x y - 4 = 3x
no solution
100
Given: Slope = -4, point: (-7, 10)
y = -4x -18
100
Solve for x: -x + 8y = 4
x = -4 + 8y
100
y = x + 3 y = -2x -3
(-2, 1)
100
Together, Jack and Jill have 49 pails of water. Jill has 11 more pails than Jack. How many pails does each person have?
Jack has 19 pails and Jill has 30 pails.
200
y = 2x y = x + 1
(1, 2)
200
passes through (6,2), slope 2/3
y = 2/3 x - 2
200
Solve for x: 2x -2y = 20
x = 10 + y
200
x+3y=1 y= 2x +5
(-2,1)
200
Taylor bought a total of 15 dresses and shoes. She bought 7 more dresses than shoes. How many of each did she buy?
11 dresses and 4 pairs of shoes
300
y = 3/4x 3x - 4y = 0
infinite number of solutions
300
Write in Standard Form: y - 8 = -1/2 (x + 4)
x + 2y = 12
300
Solve for y: -6x - y= -14
y= 14- 6x
300
y =x+15 y=2x
(15, 30)
300
McDonald's cooked 45 hamburgers and chicken shandwiches during the lunch hour rush. He cooked twice as many chicken sandwiches as hamburgers. How many of each did he cook?
15 hamburgers, 30 chicken sandwiches
400
x + y = -3 2x + y = 1
(4, -7)
400
passes through (3, -6) and (-1, 2)
y = -2x
400
Solve for x: -x -4y= -22
x = 22 - 4y
400
y= 1/4x x+4y = 8
(4,1)
400
The cost of 8 cookies and 2 cartons of milk at Mrs. Fields Cookies cost $18. The cost of 3 cookies and 1 carton of milk costs $7.50. How much does one cookie and 1 carton of milk cost?
a cookie costs $1.50 and a carton of milk $3
500
2x + 3y = 6 2x +3y = 7
No solution
500
passes through (3,4) and ( 5, -4)
y = -4x + 16
500
Solve for y: 8x- y = -12
y = 8x +12
500
y=2x-3 x+y=18
(7, 11)
500
Ms. K wants to take her class to the art museum or to the science museum. The art museum charges $4 per student plus $95 for a 1 hour tour. The Science Museum charges $9 per student plus $75 for a guided tour. If Ms. K has 22 students in her class, which would cost less? AND how much less?
the art museum, $90 less